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Finding the Fourth Proportional to 6,684.76, 10,029.50 and 4,472.44

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Solution

The fourth proportional to 6,684.76, 10,029.50 and 4,472.44 is: 6,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.76 : 10,029.50 = 4,472.44 : x
  2. Step 2: Convert to fraction form
    6,684.76/10,029.50 = 4,472.44/x
  3. Step 3: Cross multiply
    6,684.76x = 10,029.50 × 4,472.44
  4. Step 4: Simplify right side
    6,684.76x = 44,856,336.98
  5. Step 5: Solve for x
    x = 44,856,336.98/6,684.76
  6. Step 6: Final answer
    x = 6,710.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.